Question

add.
$\frac{1}{4}+\frac{-1}{2}=$

Explanation:

Step1: Find a common denominator

The common denominator of 4 and 2 is 4. Rewrite $\frac{-1}{2}$ with a denominator of 4. Since $2\times2 = 4$, then $\frac{-1}{2}=\frac{-1\times2}{2\times2}=\frac{-2}{4}$.

Step2: Add the fractions

Now we have $\frac{1}{4}+\frac{-2}{4}$. According to the rule of adding fractions with the same - denominator $\frac{a}{c}+\frac{b}{c}=\frac{a + b}{c}$, so $\frac{1}{4}+\frac{-2}{4}=\frac{1+( - 2)}{4}=\frac{1 - 2}{4}=\frac{-1}{4}$.

Answer:

$\frac{-1}{4}$